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Fig. 1: Various glass roof shapes. Fig.2: Side and Front views of Neumunster Abbey roof: Grid, Undeformed roof, Prebuckling deformation and 3 eigenmodes

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D. Tonelli (1), N. Pietroni (2), E. Puppo (3), M. Froli (1), P. Signoni (2), G. Amendola (4), R. Scopigno (2)
(1) University of Pisa, Department DESTeC, Pisa, Italy
(2) VCLab, CNR-ISTI, Pisa, Italy
(3) University of Genova, Department Dibris, Genova, Italy
(4) University eCampus, Via Isimbardi 10, 22060 Novedrate, CO, Italy

“Stability of statics aware Voronoi grid-shells”, Engineering Structures, Vol. 116, pp 70-82, 2016,
http://dx.doi.org/10.1016/j.engstruct.2016.02.049

ABSTRACT: Grid-shells are lightweight structures used to cover long spans with few load-bearing material, as they excel for lightness, elegance and transparency. In this paper we analyze the stability of hex-dominant free-form grid-shells, generated with the Statics Aware Voronoi Remeshing scheme introduced in Pietroni et al. (2015). This is a novel hex-dominant, organic-like and non uniform remeshing pattern that manages to take into account the statics of the underlying surface. We show how this pattern is particularly suitable for free-form grid-shells, providing good performance in terms of both aesthetics and structural behavior. To reach this goal, we select a set of four contemporary architectural surfaces and we establish a systematic comparative analysis between Statics Aware Voronoi Grid-Shells and equivalent state of the art triangular and quadrilateral grid-shells. For each dataset and for each grid-shell topology, imperfection sensitivity analyses are carried out and the worst response diagrams compared. It turns out that, in spite of the intrinsic weakness of the hexagonal topology, free-form Statics Aware Voronoi Grid-Shells are much more effective than their state-of-the-art quadrilateral counterparts.

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